A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid
We propose a variational formulation of the spectral problem of normal symmetric oscillations of viscous liquid. On the basis of this formulation, we construct a projective method for the determination of real eigenvalues of the problem. We present the numerical realization of this method in the cas...
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| Date: | 1997 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5009 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792192871661568 |
|---|---|
| author | Barnyak, O. M. Барняк, О. М. |
| author_facet | Barnyak, O. M. Барняк, О. М. |
| author_institution_txt_mv | [
{
"author": "О. М. Барняк",
"institution": null
}
] |
| author_sort | Barnyak, O. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:31Z |
| description | We propose a variational formulation of the spectral problem of normal symmetric oscillations of viscous liquid. On the basis of this formulation, we construct a projective method for the determination of real eigenvalues of the problem. We present the numerical realization of this method in the case of a spherical cavity. |
| first_indexed | 2026-03-24T03:09:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5009 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:09:09Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a0/6084405a27457c1c6f949fe2cef4fca0.pdf |
| spelling | umjimathkievua-article-50092020-03-18T21:22:31Z A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid Проекційний метод побудови розв'язків задачі про нормальні симетричні коливання в'язкої рідини Barnyak, O. M. Барняк, О. М. We propose a variational formulation of the spectral problem of normal symmetric oscillations of viscous liquid. On the basis of this formulation, we construct a projective method for the determination of real eigenvalues of the problem. We present the numerical realization of this method in the case of a spherical cavity. Запропоновано варіаційне формулювання спектральної задачі про нормальні симетричні коливання в'язкої рідини. На основі цього формулювання побудовано проекційний метод визначення дійсних власних значень задачі. Проведено чисельну реалізацію методу для сферичної порожнини. Institute of Mathematics, NAS of Ukraine 1997-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5009 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 2 (1997); 315–320 Український математичний журнал; Том 49 № 2 (1997); 315–320 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5009/6717 https://umj.imath.kiev.ua/index.php/umj/article/view/5009/6718 Copyright (c) 1997 Barnyak O. M. |
| spellingShingle | Barnyak, O. M. Барняк, О. М. A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| title | A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| title_alt | Проекційний метод побудови розв'язків задачі про нормальні симетричні коливання в'язкої рідини |
| title_full | A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| title_fullStr | A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| title_full_unstemmed | A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| title_short | A projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| title_sort | projective method for the construction of solutions of the problem of normal symmetric oscillations of viscous liquid |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5009 |
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